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Alex Bought a Game Boy for Rs 4,784 Which Included a Rebate of 20% and a Sales Tax of 15%. Find the Basic Price of the Game Boy. - Mathematics

Sum

Alex bought a game boy for Rs 4,784 which included a rebate of 20% and a sales tax of 15%. Find the basic price of the game boy.

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Solution

Let the basic price be x

Rebate = 20 % of x

Rebated cost of game boy= x - 20 % of x

`= "x" - (20 "x")/100`

`= (80  "x")/100`

Sales tax= 15% of cost of game boy  

`= 15/100 xx (80 "x")/100`

`= (12 x)/100`

Total cost = cost + sales tax

`= (80 "x")/100 + (12 "x")/100`

`= (92 "x")/100`

But total cost = Rs 4,784 

⇒ `(92 "x")/100` = Rs 4784

⇒ x = `(4784 xx 100)/92`

⇒ x = Rs 5,200 

Hence, Basic price of game boy =Rs 5,200

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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 2 Sales Tax and Value Added Tax
Exercise 2.1 | Q 18 | Page 35
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